GCD of 687, 684, 506 Calculator

Given Input numbers are 687, 684, 506

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 687, 684, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 684, 506 is 1.

Therefore, GCD of numbers 687, 684, 506 is 1

Given Input Data is 687, 684, 506

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 687 is 3 x 229

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 506 is 2 x 11 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(687, 684) = 156636

GCD(687, 684) = ( 687 x 684 ) / 156636

GCD(687, 684) = 469908 / 156636

GCD(687, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 506

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 506) = 1518

GCD(3, 506) = ( 3 x 506 ) / 1518

GCD(3, 506) = 1518 / 1518

GCD(3, 506) = 1

GCD of 687, 684, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 937, 300
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• GCD of 466, 583, 641
• GCD of 500, 932, 954
• GCD of 630, 911, 804

1. What is the GCD of 687, 684, 506?

GCD of 687, 684, 506 is 1

2. Where do I get the detailed procedure to find GCD of 687, 684, 506?

You can find a detailed procedure to find GCD of 687, 684, 506 on our page.

3. How to find GCD of 687, 684, 506 on a calculator?

You can find the GCD of 687, 684, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.